What is the Least Common Multiple of 75972 and 75985?

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 75972 and 75985 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75972 and 75985, than apply into the LCM equation.

GCF(75972,75985) = 13
LCM(75972,75985) = ( 75972 × 75985) / 13
LCM(75972,75985) = 5772732420 / 13
LCM(75972,75985) = 444056340

Least Common Multiple (LCM) of 75972 and 75985 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75972 and 75985. First we will calculate the prime factors of 75972 and 75985.

Prime Factorization of 75972

Prime Factorization of 75985

Now multiplying the highest exponent prime factors to calculate the LCM of 75972 and 75985.

LCM(75972,75985) = 2² × 3¹ × 13¹ × 487¹ × 5¹ × 7¹ × 167¹
LCM(75972,75985) = 444056340