What is the Least Common Multiple of 66972 and 66987?

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 66972 and 66987 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66972 and 66987, than apply into the LCM equation.

GCF(66972,66987) = 3
LCM(66972,66987) = ( 66972 × 66987) / 3
LCM(66972,66987) = 4486253364 / 3
LCM(66972,66987) = 1495417788

Least Common Multiple (LCM) of 66972 and 66987 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66972 and 66987. First we will calculate the prime factors of 66972 and 66987.

Prime Factorization of 66972

Prime Factorization of 66987

Now multiplying the highest exponent prime factors to calculate the LCM of 66972 and 66987.

LCM(66972,66987) = 2² × 3⁴ × 5581¹ × 827¹
LCM(66972,66987) = 1495417788