What is the Least Common Multiple of 37520 and 37538?

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 37520 and 37538 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37520 and 37538, than apply into the LCM equation.

GCF(37520,37538) = 2
LCM(37520,37538) = ( 37520 × 37538) / 2
LCM(37520,37538) = 1408425760 / 2
LCM(37520,37538) = 704212880

Least Common Multiple (LCM) of 37520 and 37538 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37520 and 37538. First we will calculate the prime factors of 37520 and 37538.

Prime Factorization of 37520

Prime Factorization of 37538

Now multiplying the highest exponent prime factors to calculate the LCM of 37520 and 37538.

LCM(37520,37538) = 2⁴ × 5¹ × 7¹ × 67¹ × 137²
LCM(37520,37538) = 704212880