What is the Least Common Multiple of 45759 and 45766?

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 45759 and 45766 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45759 and 45766, than apply into the LCM equation.

GCF(45759,45766) = 7
LCM(45759,45766) = ( 45759 × 45766) / 7
LCM(45759,45766) = 2094206394 / 7
LCM(45759,45766) = 299172342

Least Common Multiple (LCM) of 45759 and 45766 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45759 and 45766. First we will calculate the prime factors of 45759 and 45766.

Prime Factorization of 45759

Prime Factorization of 45766

Now multiplying the highest exponent prime factors to calculate the LCM of 45759 and 45766.

LCM(45759,45766) = 3¹ × 7² × 2179¹ × 2¹ × 467¹
LCM(45759,45766) = 299172342