What is the Least Common Multiple of 37438 and 37458?

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 37438 and 37458 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37438 and 37458, than apply into the LCM equation.

GCF(37438,37458) = 2
LCM(37438,37458) = ( 37438 × 37458) / 2
LCM(37438,37458) = 1402352604 / 2
LCM(37438,37458) = 701176302

Least Common Multiple (LCM) of 37438 and 37458 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37438 and 37458. First we will calculate the prime factors of 37438 and 37458.

Prime Factorization of 37438

Prime Factorization of 37458

Now multiplying the highest exponent prime factors to calculate the LCM of 37438 and 37458.

LCM(37438,37458) = 2¹ × 18719¹ × 3² × 2081¹
LCM(37438,37458) = 701176302