What is the Least Common Multiple of 37692 and 37705?

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 37692 and 37705 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37692 and 37705, than apply into the LCM equation.

GCF(37692,37705) = 1
LCM(37692,37705) = ( 37692 × 37705) / 1
LCM(37692,37705) = 1421176860 / 1
LCM(37692,37705) = 1421176860

Least Common Multiple (LCM) of 37692 and 37705 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37692 and 37705. First we will calculate the prime factors of 37692 and 37705.

Prime Factorization of 37692

Prime Factorization of 37705

Now multiplying the highest exponent prime factors to calculate the LCM of 37692 and 37705.

LCM(37692,37705) = 2² × 3³ × 349¹ × 5¹ × 7541¹
LCM(37692,37705) = 1421176860