What is the Least Common Multiple of 37520 and 37535?

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 37535 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 37535, than apply into the LCM equation.

GCF(37520,37535) = 5
LCM(37520,37535) = ( 37520 × 37535) / 5
LCM(37520,37535) = 1408313200 / 5
LCM(37520,37535) = 281662640

Least Common Multiple (LCM) of 37520 and 37535 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37520 and 37535. First we will calculate the prime factors of 37520 and 37535.

Prime Factorization of 37520

Prime Factorization of 37535

Now multiplying the highest exponent prime factors to calculate the LCM of 37520 and 37535.

LCM(37520,37535) = 2⁴ × 5¹ × 7¹ × 67¹ × 7507¹
LCM(37520,37535) = 281662640