What is the Least Common Multiple of 37442 and 37447?

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 37442 and 37447 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37442 and 37447, than apply into the LCM equation.

GCF(37442,37447) = 1
LCM(37442,37447) = ( 37442 × 37447) / 1
LCM(37442,37447) = 1402090574 / 1
LCM(37442,37447) = 1402090574

Least Common Multiple (LCM) of 37442 and 37447 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37442 and 37447. First we will calculate the prime factors of 37442 and 37447.

Prime Factorization of 37442

Prime Factorization of 37447

Now multiplying the highest exponent prime factors to calculate the LCM of 37442 and 37447.

LCM(37442,37447) = 2¹ × 97¹ × 193¹ × 37447¹
LCM(37442,37447) = 1402090574