What is the Least Common Multiple of 75978 and 75987?

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 75978 and 75987 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75978 and 75987, than apply into the LCM equation.

GCF(75978,75987) = 9
LCM(75978,75987) = ( 75978 × 75987) / 9
LCM(75978,75987) = 5773340286 / 9
LCM(75978,75987) = 641482254

Least Common Multiple (LCM) of 75978 and 75987 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75978 and 75987. First we will calculate the prime factors of 75978 and 75987.

Prime Factorization of 75978

Prime Factorization of 75987

Now multiplying the highest exponent prime factors to calculate the LCM of 75978 and 75987.

LCM(75978,75987) = 2¹ × 3⁴ × 7¹ × 67¹ × 8443¹
LCM(75978,75987) = 641482254