What is the Least Common Multiple of 37646 and 37650?

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 37646 and 37650 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37646 and 37650, than apply into the LCM equation.

GCF(37646,37650) = 2
LCM(37646,37650) = ( 37646 × 37650) / 2
LCM(37646,37650) = 1417371900 / 2
LCM(37646,37650) = 708685950

Least Common Multiple (LCM) of 37646 and 37650 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37646 and 37650. First we will calculate the prime factors of 37646 and 37650.

Prime Factorization of 37646

Prime Factorization of 37650

Now multiplying the highest exponent prime factors to calculate the LCM of 37646 and 37650.

LCM(37646,37650) = 2¹ × 7¹ × 2689¹ × 3¹ × 5² × 251¹
LCM(37646,37650) = 708685950