What is the Least Common Multiple of 42975 and 42987?

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 42975 and 42987 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42975 and 42987, than apply into the LCM equation.

GCF(42975,42987) = 3
LCM(42975,42987) = ( 42975 × 42987) / 3
LCM(42975,42987) = 1847366325 / 3
LCM(42975,42987) = 615788775

Least Common Multiple (LCM) of 42975 and 42987 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42975 and 42987. First we will calculate the prime factors of 42975 and 42987.

Prime Factorization of 42975

Prime Factorization of 42987

Now multiplying the highest exponent prime factors to calculate the LCM of 42975 and 42987.

LCM(42975,42987) = 3² × 5² × 191¹ × 7¹ × 23¹ × 89¹
LCM(42975,42987) = 615788775