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What is the Least Common Multiple of 68974 and 68988?

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 68974 and 68988 is 2379189156.

LCM(68974,68988) = 2379189156

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Least Common Multiple of 68974 and 68988 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68974 and 68988, than apply into the LCM equation.

GCF(68974,68988) = 2
LCM(68974,68988) = ( 68974 × 68988) / 2
LCM(68974,68988) = 4758378312 / 2
LCM(68974,68988) = 2379189156

Least Common Multiple (LCM) of 68974 and 68988 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68974 and 68988. First we will calculate the prime factors of 68974 and 68988.

Prime Factorization of 68974

Prime factors of 68974 are 2, 34487. Prime factorization of 68974 in exponential form is:

68974 = 21 × 344871

Prime Factorization of 68988

Prime factors of 68988 are 2, 3, 5749. Prime factorization of 68988 in exponential form is:

68988 = 22 × 31 × 57491

Now multiplying the highest exponent prime factors to calculate the LCM of 68974 and 68988.

LCM(68974,68988) = 22 × 344871 × 31 × 57491
LCM(68974,68988) = 2379189156