What is the Least Common Multiple of 49650 and 49665?

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 49650 and 49665 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49650 and 49665, than apply into the LCM equation.

GCF(49650,49665) = 15
LCM(49650,49665) = ( 49650 × 49665) / 15
LCM(49650,49665) = 2465867250 / 15
LCM(49650,49665) = 164391150

Least Common Multiple (LCM) of 49650 and 49665 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49650 and 49665. First we will calculate the prime factors of 49650 and 49665.

Prime Factorization of 49650

Prime Factorization of 49665

Now multiplying the highest exponent prime factors to calculate the LCM of 49650 and 49665.

LCM(49650,49665) = 2¹ × 3¹ × 5² × 331¹ × 7¹ × 11¹ × 43¹
LCM(49650,49665) = 164391150