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What is the Least Common Multiple of 68977 and 68987?

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 68977 and 68987 is 4758516299.

LCM(68977,68987) = 4758516299

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Least Common Multiple of 68977 and 68987 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68977 and 68987, than apply into the LCM equation.

GCF(68977,68987) = 1
LCM(68977,68987) = ( 68977 × 68987) / 1
LCM(68977,68987) = 4758516299 / 1
LCM(68977,68987) = 4758516299

Least Common Multiple (LCM) of 68977 and 68987 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68977 and 68987. First we will calculate the prime factors of 68977 and 68987.

Prime Factorization of 68977

Prime factors of 68977 are 23, 2999. Prime factorization of 68977 in exponential form is:

68977 = 231 × 29991

Prime Factorization of 68987

Prime factors of 68987 are 149, 463. Prime factorization of 68987 in exponential form is:

68987 = 1491 × 4631

Now multiplying the highest exponent prime factors to calculate the LCM of 68977 and 68987.

LCM(68977,68987) = 231 × 29991 × 1491 × 4631
LCM(68977,68987) = 4758516299