What is the Least Common Multiple of 59906 and 59920?

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 59906 and 59920 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59906 and 59920, than apply into the LCM equation.

GCF(59906,59920) = 14
LCM(59906,59920) = ( 59906 × 59920) / 14
LCM(59906,59920) = 3589567520 / 14
LCM(59906,59920) = 256397680

Least Common Multiple (LCM) of 59906 and 59920 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59906 and 59920. First we will calculate the prime factors of 59906 and 59920.

Prime Factorization of 59906

Prime Factorization of 59920

Now multiplying the highest exponent prime factors to calculate the LCM of 59906 and 59920.

LCM(59906,59920) = 2⁴ × 7¹ × 11¹ × 389¹ × 5¹ × 107¹
LCM(59906,59920) = 256397680