What is the Least Common Multiple of 37668 and 37683?

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 37668 and 37683 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37668 and 37683, than apply into the LCM equation.

GCF(37668,37683) = 3
LCM(37668,37683) = ( 37668 × 37683) / 3
LCM(37668,37683) = 1419443244 / 3
LCM(37668,37683) = 473147748

Least Common Multiple (LCM) of 37668 and 37683 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37668 and 37683. First we will calculate the prime factors of 37668 and 37683.

Prime Factorization of 37668

Prime Factorization of 37683

Now multiplying the highest exponent prime factors to calculate the LCM of 37668 and 37683.

LCM(37668,37683) = 2² × 3² × 43¹ × 73¹ × 53¹ × 79¹
LCM(37668,37683) = 473147748