What is the Least Common Multiple of 59652 and 59670?

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 59652 and 59670 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59652 and 59670, than apply into the LCM equation.

GCF(59652,59670) = 18
LCM(59652,59670) = ( 59652 × 59670) / 18
LCM(59652,59670) = 3559434840 / 18
LCM(59652,59670) = 197746380

Least Common Multiple (LCM) of 59652 and 59670 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59652 and 59670. First we will calculate the prime factors of 59652 and 59670.

Prime Factorization of 59652

Prime Factorization of 59670

Now multiplying the highest exponent prime factors to calculate the LCM of 59652 and 59670.

LCM(59652,59670) = 2² × 3³ × 1657¹ × 5¹ × 13¹ × 17¹
LCM(59652,59670) = 197746380