What is the Least Common Multiple of 59076 and 59085?

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 59076 and 59085 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59076 and 59085, than apply into the LCM equation.

GCF(59076,59085) = 9
LCM(59076,59085) = ( 59076 × 59085) / 9
LCM(59076,59085) = 3490505460 / 9
LCM(59076,59085) = 387833940

Least Common Multiple (LCM) of 59076 and 59085 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59076 and 59085. First we will calculate the prime factors of 59076 and 59085.

Prime Factorization of 59076

Prime Factorization of 59085

Now multiplying the highest exponent prime factors to calculate the LCM of 59076 and 59085.

LCM(59076,59085) = 2² × 3³ × 547¹ × 5¹ × 13¹ × 101¹
LCM(59076,59085) = 387833940