What is the Least Common Multiple of 65355 and 65370?

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 65355 and 65370 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65355 and 65370, than apply into the LCM equation.

GCF(65355,65370) = 15
LCM(65355,65370) = ( 65355 × 65370) / 15
LCM(65355,65370) = 4272256350 / 15
LCM(65355,65370) = 284817090

Least Common Multiple (LCM) of 65355 and 65370 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65355 and 65370. First we will calculate the prime factors of 65355 and 65370.

Prime Factorization of 65355

Prime Factorization of 65370

Now multiplying the highest exponent prime factors to calculate the LCM of 65355 and 65370.

LCM(65355,65370) = 3¹ × 5¹ × 4357¹ × 2¹ × 2179¹
LCM(65355,65370) = 284817090