What is the Least Common Multiple of 77088 and 77104?
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 77088 and 77104 is 371487072.
LCM(77088,77104) = 371487072
Least Common Multiple of 77088 and 77104 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77088 and 77104, than apply into the LCM equation.
GCF(77088,77104) = 16
LCM(77088,77104) = ( 77088 × 77104) / 16
LCM(77088,77104) = 5943793152 / 16
LCM(77088,77104) = 371487072
Least Common Multiple (LCM) of 77088 and 77104 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 77088 and 77104. First we will calculate the prime factors of 77088 and 77104.
Prime Factorization of 77088
Prime factors of 77088 are 2, 3, 11, 73. Prime factorization of 77088 in exponential form is:
77088 = 25 × 31 × 111 × 731
Prime Factorization of 77104
Prime factors of 77104 are 2, 61, 79. Prime factorization of 77104 in exponential form is:
77104 = 24 × 611 × 791
Now multiplying the highest exponent prime factors to calculate the LCM of 77088 and 77104.
LCM(77088,77104) = 25 × 31 × 111 × 731 × 611 × 791
LCM(77088,77104) = 371487072
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