What is the Least Common Multiple of 37654 and 37668?

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 37654 and 37668 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37654 and 37668, than apply into the LCM equation.

GCF(37654,37668) = 2
LCM(37654,37668) = ( 37654 × 37668) / 2
LCM(37654,37668) = 1418350872 / 2
LCM(37654,37668) = 709175436

Least Common Multiple (LCM) of 37654 and 37668 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37654 and 37668. First we will calculate the prime factors of 37654 and 37668.

Prime Factorization of 37654

Prime Factorization of 37668

Now multiplying the highest exponent prime factors to calculate the LCM of 37654 and 37668.

LCM(37654,37668) = 2² × 67¹ × 281¹ × 3¹ × 43¹ × 73¹
LCM(37654,37668) = 709175436