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What is the Least Common Multiple of 68968 and 68972?

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 68968 and 68972 is 1189215224.

LCM(68968,68972) = 1189215224

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Least Common Multiple of 68968 and 68972 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68968 and 68972, than apply into the LCM equation.

GCF(68968,68972) = 4
LCM(68968,68972) = ( 68968 × 68972) / 4
LCM(68968,68972) = 4756860896 / 4
LCM(68968,68972) = 1189215224

Least Common Multiple (LCM) of 68968 and 68972 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68968 and 68972. First we will calculate the prime factors of 68968 and 68972.

Prime Factorization of 68968

Prime factors of 68968 are 2, 37, 233. Prime factorization of 68968 in exponential form is:

68968 = 23 × 371 × 2331

Prime Factorization of 68972

Prime factors of 68972 are 2, 43, 401. Prime factorization of 68972 in exponential form is:

68972 = 22 × 431 × 4011

Now multiplying the highest exponent prime factors to calculate the LCM of 68968 and 68972.

LCM(68968,68972) = 23 × 371 × 2331 × 431 × 4011
LCM(68968,68972) = 1189215224