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What is the Least Common Multiple of 26953 and 26972?

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 26953 and 26972 is 726976316.

LCM(26953,26972) = 726976316

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Least Common Multiple of 26953 and 26972 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26953 and 26972, than apply into the LCM equation.

GCF(26953,26972) = 1
LCM(26953,26972) = ( 26953 × 26972) / 1
LCM(26953,26972) = 726976316 / 1
LCM(26953,26972) = 726976316

Least Common Multiple (LCM) of 26953 and 26972 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26953 and 26972. First we will calculate the prime factors of 26953 and 26972.

Prime Factorization of 26953

Prime factors of 26953 are 26953. Prime factorization of 26953 in exponential form is:

26953 = 269531

Prime Factorization of 26972

Prime factors of 26972 are 2, 11, 613. Prime factorization of 26972 in exponential form is:

26972 = 22 × 111 × 6131

Now multiplying the highest exponent prime factors to calculate the LCM of 26953 and 26972.

LCM(26953,26972) = 269531 × 22 × 111 × 6131
LCM(26953,26972) = 726976316