What is the Least Common Multiple of 77635 and 77644?
Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.
Least common multiple (LCM) of 77635 and 77644 is 6027891940.
LCM(77635,77644) = 6027891940
Least Common Multiple of 77635 and 77644 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77635 and 77644, than apply into the LCM equation.
GCF(77635,77644) = 1
LCM(77635,77644) = ( 77635 × 77644) / 1
LCM(77635,77644) = 6027891940 / 1
LCM(77635,77644) = 6027891940
Least Common Multiple (LCM) of 77635 and 77644 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 77635 and 77644. First we will calculate the prime factors of 77635 and 77644.
Prime Factorization of 77635
Prime factors of 77635 are 5, 15527. Prime factorization of 77635 in exponential form is:
77635 = 51 × 155271
Prime Factorization of 77644
Prime factors of 77644 are 2, 7, 47, 59. Prime factorization of 77644 in exponential form is:
77644 = 22 × 71 × 471 × 591
Now multiplying the highest exponent prime factors to calculate the LCM of 77635 and 77644.
LCM(77635,77644) = 51 × 155271 × 22 × 71 × 471 × 591
LCM(77635,77644) = 6027891940
Related Least Common Multiples of 77635
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Related Least Common Multiples of 77644
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- LCM of 77644 and 77653
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