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What is the Least Common Multiple of 76978 and 76998?

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 76978 and 76998 is 2963576022.

LCM(76978,76998) = 2963576022

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Least Common Multiple of 76978 and 76998 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76978 and 76998, than apply into the LCM equation.

GCF(76978,76998) = 2
LCM(76978,76998) = ( 76978 × 76998) / 2
LCM(76978,76998) = 5927152044 / 2
LCM(76978,76998) = 2963576022

Least Common Multiple (LCM) of 76978 and 76998 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76978 and 76998. First we will calculate the prime factors of 76978 and 76998.

Prime Factorization of 76978

Prime factors of 76978 are 2, 11, 3499. Prime factorization of 76978 in exponential form is:

76978 = 21 × 111 × 34991

Prime Factorization of 76998

Prime factors of 76998 are 2, 3, 41, 313. Prime factorization of 76998 in exponential form is:

76998 = 21 × 31 × 411 × 3131

Now multiplying the highest exponent prime factors to calculate the LCM of 76978 and 76998.

LCM(76978,76998) = 21 × 111 × 34991 × 31 × 411 × 3131
LCM(76978,76998) = 2963576022