What is the Least Common Multiple of 37950 and 37963?

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 37950 and 37963 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37950 and 37963, than apply into the LCM equation.

GCF(37950,37963) = 1
LCM(37950,37963) = ( 37950 × 37963) / 1
LCM(37950,37963) = 1440695850 / 1
LCM(37950,37963) = 1440695850

Least Common Multiple (LCM) of 37950 and 37963 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37950 and 37963. First we will calculate the prime factors of 37950 and 37963.

Prime Factorization of 37950

Prime Factorization of 37963

Now multiplying the highest exponent prime factors to calculate the LCM of 37950 and 37963.

LCM(37950,37963) = 2¹ × 3¹ × 5² × 11¹ × 23¹ × 37963¹
LCM(37950,37963) = 1440695850