What is the Least Common Multiple of 77951 and 77965?
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 77951 and 77965 is 6077449715.
LCM(77951,77965) = 6077449715
Least Common Multiple of 77951 and 77965 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77951 and 77965, than apply into the LCM equation.
GCF(77951,77965) = 1
LCM(77951,77965) = ( 77951 × 77965) / 1
LCM(77951,77965) = 6077449715 / 1
LCM(77951,77965) = 6077449715
Least Common Multiple (LCM) of 77951 and 77965 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 77951 and 77965. First we will calculate the prime factors of 77951 and 77965.
Prime Factorization of 77951
Prime factors of 77951 are 77951. Prime factorization of 77951 in exponential form is:
77951 = 779511
Prime Factorization of 77965
Prime factors of 77965 are 5, 31, 503. Prime factorization of 77965 in exponential form is:
77965 = 51 × 311 × 5031
Now multiplying the highest exponent prime factors to calculate the LCM of 77951 and 77965.
LCM(77951,77965) = 779511 × 51 × 311 × 5031
LCM(77951,77965) = 6077449715
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