What is the Least Common Multiple of 37764 and 37776?

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 37764 and 37776 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37764 and 37776, than apply into the LCM equation.

GCF(37764,37776) = 12
LCM(37764,37776) = ( 37764 × 37776) / 12
LCM(37764,37776) = 1426572864 / 12
LCM(37764,37776) = 118881072

Least Common Multiple (LCM) of 37764 and 37776 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37764 and 37776. First we will calculate the prime factors of 37764 and 37776.

Prime Factorization of 37764

Prime Factorization of 37776

Now multiplying the highest exponent prime factors to calculate the LCM of 37764 and 37776.

LCM(37764,37776) = 2⁴ × 3² × 1049¹ × 787¹
LCM(37764,37776) = 118881072