What is the Least Common Multiple of 59865 and 59877?

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 59865 and 59877 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59865 and 59877, than apply into the LCM equation.

GCF(59865,59877) = 3
LCM(59865,59877) = ( 59865 × 59877) / 3
LCM(59865,59877) = 3584536605 / 3
LCM(59865,59877) = 1194845535

Least Common Multiple (LCM) of 59865 and 59877 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59865 and 59877. First we will calculate the prime factors of 59865 and 59877.

Prime Factorization of 59865

Prime Factorization of 59877

Now multiplying the highest exponent prime factors to calculate the LCM of 59865 and 59877.

LCM(59865,59877) = 3² × 5¹ × 13¹ × 307¹ × 6653¹
LCM(59865,59877) = 1194845535