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What is the Least Common Multiple of 68948 and 68952?

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 68948 and 68952 is 1188525624.

LCM(68948,68952) = 1188525624

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Least Common Multiple of 68948 and 68952 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68948 and 68952, than apply into the LCM equation.

GCF(68948,68952) = 4
LCM(68948,68952) = ( 68948 × 68952) / 4
LCM(68948,68952) = 4754102496 / 4
LCM(68948,68952) = 1188525624

Least Common Multiple (LCM) of 68948 and 68952 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68948 and 68952. First we will calculate the prime factors of 68948 and 68952.

Prime Factorization of 68948

Prime factors of 68948 are 2, 11, 1567. Prime factorization of 68948 in exponential form is:

68948 = 22 × 111 × 15671

Prime Factorization of 68952

Prime factors of 68952 are 2, 3, 13, 17. Prime factorization of 68952 in exponential form is:

68952 = 23 × 31 × 132 × 171

Now multiplying the highest exponent prime factors to calculate the LCM of 68948 and 68952.

LCM(68948,68952) = 23 × 111 × 15671 × 31 × 132 × 171
LCM(68948,68952) = 1188525624