What is the Least Common Multiple of 37715 and 37734?

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 37715 and 37734 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37715 and 37734, than apply into the LCM equation.

GCF(37715,37734) = 19
LCM(37715,37734) = ( 37715 × 37734) / 19
LCM(37715,37734) = 1423137810 / 19
LCM(37715,37734) = 74901990

Least Common Multiple (LCM) of 37715 and 37734 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37715 and 37734. First we will calculate the prime factors of 37715 and 37734.

Prime Factorization of 37715

Prime Factorization of 37734

Now multiplying the highest exponent prime factors to calculate the LCM of 37715 and 37734.

LCM(37715,37734) = 5¹ × 19¹ × 397¹ × 2¹ × 3¹ × 331¹
LCM(37715,37734) = 74901990