What is the Least Common Multiple of 69972 and 69987?

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 of 69972 and 69987 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69972 and 69987, than apply into the LCM equation.

GCF(69972,69987) = 3
LCM(69972,69987) = ( 69972 × 69987) / 3
LCM(69972,69987) = 4897130364 / 3
LCM(69972,69987) = 1632376788

Least Common Multiple (LCM) of 69972 and 69987 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69972 and 69987. First we will calculate the prime factors of 69972 and 69987.

Prime Factorization of 69972

Prime Factorization of 69987

Now multiplying the highest exponent prime factors to calculate the LCM of 69972 and 69987.

LCM(69972,69987) = 2² × 3¹ × 7³ × 17¹ × 41¹ × 569¹
LCM(69972,69987) = 1632376788