What is the Least Common Multiple of 37058 and 37074?

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 37058 and 37074 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37058 and 37074, than apply into the LCM equation.

GCF(37058,37074) = 2
LCM(37058,37074) = ( 37058 × 37074) / 2
LCM(37058,37074) = 1373888292 / 2
LCM(37058,37074) = 686944146

Least Common Multiple (LCM) of 37058 and 37074 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37058 and 37074. First we will calculate the prime factors of 37058 and 37074.

Prime Factorization of 37058

Prime Factorization of 37074

Now multiplying the highest exponent prime factors to calculate the LCM of 37058 and 37074.

LCM(37058,37074) = 2¹ × 7¹ × 2647¹ × 3¹ × 37¹ × 167¹
LCM(37058,37074) = 686944146