What is the Least Common Multiple of 59070 and 59088?

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 59070 and 59088 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59070 and 59088, than apply into the LCM equation.

GCF(59070,59088) = 6
LCM(59070,59088) = ( 59070 × 59088) / 6
LCM(59070,59088) = 3490328160 / 6
LCM(59070,59088) = 581721360

Least Common Multiple (LCM) of 59070 and 59088 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59070 and 59088. First we will calculate the prime factors of 59070 and 59088.

Prime Factorization of 59070

Prime Factorization of 59088

Now multiplying the highest exponent prime factors to calculate the LCM of 59070 and 59088.

LCM(59070,59088) = 2⁴ × 3¹ × 5¹ × 11¹ × 179¹ × 1231¹
LCM(59070,59088) = 581721360