What is the Least Common Multiple of 37760 and 37772?

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 37760 and 37772 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37760 and 37772, than apply into the LCM equation.

GCF(37760,37772) = 4
LCM(37760,37772) = ( 37760 × 37772) / 4
LCM(37760,37772) = 1426270720 / 4
LCM(37760,37772) = 356567680

Least Common Multiple (LCM) of 37760 and 37772 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37760 and 37772. First we will calculate the prime factors of 37760 and 37772.

Prime Factorization of 37760

Prime Factorization of 37772

Now multiplying the highest exponent prime factors to calculate the LCM of 37760 and 37772.

LCM(37760,37772) = 2⁷ × 5¹ × 59¹ × 7¹ × 19¹ × 71¹
LCM(37760,37772) = 356567680