What is the Least Common Multiple of 37749 and 37761?

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 37749 and 37761 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37749 and 37761, than apply into the LCM equation.

GCF(37749,37761) = 3
LCM(37749,37761) = ( 37749 × 37761) / 3
LCM(37749,37761) = 1425439989 / 3
LCM(37749,37761) = 475146663

Least Common Multiple (LCM) of 37749 and 37761 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37749 and 37761. First we will calculate the prime factors of 37749 and 37761.

Prime Factorization of 37749

Prime Factorization of 37761

Now multiplying the highest exponent prime factors to calculate the LCM of 37749 and 37761.

LCM(37749,37761) = 3¹ × 12583¹ × 41¹ × 307¹
LCM(37749,37761) = 475146663