What is the Least Common Multiple of 37746 and 37755?

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 37746 and 37755 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37746 and 37755, than apply into the LCM equation.

GCF(37746,37755) = 9
LCM(37746,37755) = ( 37746 × 37755) / 9
LCM(37746,37755) = 1425100230 / 9
LCM(37746,37755) = 158344470

Least Common Multiple (LCM) of 37746 and 37755 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37746 and 37755. First we will calculate the prime factors of 37746 and 37755.

Prime Factorization of 37746

Prime Factorization of 37755

Now multiplying the highest exponent prime factors to calculate the LCM of 37746 and 37755.

LCM(37746,37755) = 2¹ × 3⁴ × 233¹ × 5¹ × 839¹
LCM(37746,37755) = 158344470