What is the Least Common Multiple of 37815 and 37830?

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 37815 and 37830 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37815 and 37830, than apply into the LCM equation.

GCF(37815,37830) = 15
LCM(37815,37830) = ( 37815 × 37830) / 15
LCM(37815,37830) = 1430541450 / 15
LCM(37815,37830) = 95369430

Least Common Multiple (LCM) of 37815 and 37830 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37815 and 37830. First we will calculate the prime factors of 37815 and 37830.

Prime Factorization of 37815

Prime Factorization of 37830

Now multiplying the highest exponent prime factors to calculate the LCM of 37815 and 37830.

LCM(37815,37830) = 3¹ × 5¹ × 2521¹ × 2¹ × 13¹ × 97¹
LCM(37815,37830) = 95369430