What is the Least Common Multiple of 77427 and 77432?
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 77427 and 77432 is 5995327464.
LCM(77427,77432) = 5995327464
Least Common Multiple of 77427 and 77432 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77427 and 77432, than apply into the LCM equation.
GCF(77427,77432) = 1
LCM(77427,77432) = ( 77427 × 77432) / 1
LCM(77427,77432) = 5995327464 / 1
LCM(77427,77432) = 5995327464
Least Common Multiple (LCM) of 77427 and 77432 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 77427 and 77432. First we will calculate the prime factors of 77427 and 77432.
Prime Factorization of 77427
Prime factors of 77427 are 3, 7, 1229. Prime factorization of 77427 in exponential form is:
77427 = 32 × 71 × 12291
Prime Factorization of 77432
Prime factors of 77432 are 2, 9679. Prime factorization of 77432 in exponential form is:
77432 = 23 × 96791
Now multiplying the highest exponent prime factors to calculate the LCM of 77427 and 77432.
LCM(77427,77432) = 32 × 71 × 12291 × 23 × 96791
LCM(77427,77432) = 5995327464
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