What is the Least Common Multiple of 61545 and 61565?

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 61545 and 61565 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61545 and 61565, than apply into the LCM equation.

GCF(61545,61565) = 5
LCM(61545,61565) = ( 61545 × 61565) / 5
LCM(61545,61565) = 3789017925 / 5
LCM(61545,61565) = 757803585

Least Common Multiple (LCM) of 61545 and 61565 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61545 and 61565. First we will calculate the prime factors of 61545 and 61565.

Prime Factorization of 61545

Prime Factorization of 61565

Now multiplying the highest exponent prime factors to calculate the LCM of 61545 and 61565.

LCM(61545,61565) = 3¹ × 5¹ × 11¹ × 373¹ × 7¹ × 1759¹
LCM(61545,61565) = 757803585