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What is the Least Common Multiple of 76961 and 76972?

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 76961 and 76972 is 5923842092.

LCM(76961,76972) = 5923842092

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Least Common Multiple of 76961 and 76972 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76961 and 76972, than apply into the LCM equation.

GCF(76961,76972) = 1
LCM(76961,76972) = ( 76961 × 76972) / 1
LCM(76961,76972) = 5923842092 / 1
LCM(76961,76972) = 5923842092

Least Common Multiple (LCM) of 76961 and 76972 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76961 and 76972. First we will calculate the prime factors of 76961 and 76972.

Prime Factorization of 76961

Prime factors of 76961 are 76961. Prime factorization of 76961 in exponential form is:

76961 = 769611

Prime Factorization of 76972

Prime factors of 76972 are 2, 7, 2749. Prime factorization of 76972 in exponential form is:

76972 = 22 × 71 × 27491

Now multiplying the highest exponent prime factors to calculate the LCM of 76961 and 76972.

LCM(76961,76972) = 769611 × 22 × 71 × 27491
LCM(76961,76972) = 5923842092