What is the Least Common Multiple of 54795 and 54815?

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 54795 and 54815 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54795 and 54815, than apply into the LCM equation.

GCF(54795,54815) = 5
LCM(54795,54815) = ( 54795 × 54815) / 5
LCM(54795,54815) = 3003587925 / 5
LCM(54795,54815) = 600717585

Least Common Multiple (LCM) of 54795 and 54815 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54795 and 54815. First we will calculate the prime factors of 54795 and 54815.

Prime Factorization of 54795

Prime Factorization of 54815

Now multiplying the highest exponent prime factors to calculate the LCM of 54795 and 54815.

LCM(54795,54815) = 3¹ × 5¹ × 13¹ × 281¹ × 19¹ × 577¹
LCM(54795,54815) = 600717585