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What is the Least Common Multiple of 68996 and 69007?

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 68996 and 69007 is 4761206972.

LCM(68996,69007) = 4761206972

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Least Common Multiple of 68996 and 69007 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68996 and 69007, than apply into the LCM equation.

GCF(68996,69007) = 1
LCM(68996,69007) = ( 68996 × 69007) / 1
LCM(68996,69007) = 4761206972 / 1
LCM(68996,69007) = 4761206972

Least Common Multiple (LCM) of 68996 and 69007 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68996 and 69007. First we will calculate the prime factors of 68996 and 69007.

Prime Factorization of 68996

Prime factors of 68996 are 2, 47, 367. Prime factorization of 68996 in exponential form is:

68996 = 22 × 471 × 3671

Prime Factorization of 69007

Prime factors of 69007 are 151, 457. Prime factorization of 69007 in exponential form is:

69007 = 1511 × 4571

Now multiplying the highest exponent prime factors to calculate the LCM of 68996 and 69007.

LCM(68996,69007) = 22 × 471 × 3671 × 1511 × 4571
LCM(68996,69007) = 4761206972