What is the Least Common Multiple of 59910 and 59929?

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 59910 and 59929 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59910 and 59929, than apply into the LCM equation.

GCF(59910,59929) = 1
LCM(59910,59929) = ( 59910 × 59929) / 1
LCM(59910,59929) = 3590346390 / 1
LCM(59910,59929) = 3590346390

Least Common Multiple (LCM) of 59910 and 59929 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59910 and 59929. First we will calculate the prime factors of 59910 and 59929.

Prime Factorization of 59910

Prime Factorization of 59929

Now multiplying the highest exponent prime factors to calculate the LCM of 59910 and 59929.

LCM(59910,59929) = 2¹ × 3¹ × 5¹ × 1997¹ × 59929¹
LCM(59910,59929) = 3590346390