What is the Least Common Multiple of 59874 and 59892?

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 59874 and 59892 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59874 and 59892, than apply into the LCM equation.

GCF(59874,59892) = 6
LCM(59874,59892) = ( 59874 × 59892) / 6
LCM(59874,59892) = 3585973608 / 6
LCM(59874,59892) = 597662268

Least Common Multiple (LCM) of 59874 and 59892 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59874 and 59892. First we will calculate the prime factors of 59874 and 59892.

Prime Factorization of 59874

Prime Factorization of 59892

Now multiplying the highest exponent prime factors to calculate the LCM of 59874 and 59892.

LCM(59874,59892) = 2² × 3¹ × 17¹ × 587¹ × 7¹ × 23¹ × 31¹
LCM(59874,59892) = 597662268