What is the Least Common Multiple of 37776 and 37785?

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 37776 and 37785 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37776 and 37785, than apply into the LCM equation.

GCF(37776,37785) = 3
LCM(37776,37785) = ( 37776 × 37785) / 3
LCM(37776,37785) = 1427366160 / 3
LCM(37776,37785) = 475788720

Least Common Multiple (LCM) of 37776 and 37785 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37776 and 37785. First we will calculate the prime factors of 37776 and 37785.

Prime Factorization of 37776

Prime Factorization of 37785

Now multiplying the highest exponent prime factors to calculate the LCM of 37776 and 37785.

LCM(37776,37785) = 2⁴ × 3¹ × 787¹ × 5¹ × 11¹ × 229¹
LCM(37776,37785) = 475788720