What is the Least Common Multiple of 59601 and 59620?
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 59601 and 59620 is 3553411620.
LCM(59601,59620) = 3553411620
Least Common Multiple of 59601 and 59620 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59601 and 59620, than apply into the LCM equation.
GCF(59601,59620) = 1
LCM(59601,59620) = ( 59601 × 59620) / 1
LCM(59601,59620) = 3553411620 / 1
LCM(59601,59620) = 3553411620
Least Common Multiple (LCM) of 59601 and 59620 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 59601 and 59620. First we will calculate the prime factors of 59601 and 59620.
Prime Factorization of 59601
Prime factors of 59601 are 3, 19867. Prime factorization of 59601 in exponential form is:
59601 = 31 × 198671
Prime Factorization of 59620
Prime factors of 59620 are 2, 5, 11, 271. Prime factorization of 59620 in exponential form is:
59620 = 22 × 51 × 111 × 2711
Now multiplying the highest exponent prime factors to calculate the LCM of 59601 and 59620.
LCM(59601,59620) = 31 × 198671 × 22 × 51 × 111 × 2711
LCM(59601,59620) = 3553411620
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