What is the Least Common Multiple of 37760 and 37778?

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 37778 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 37778, than apply into the LCM equation.

GCF(37760,37778) = 2
LCM(37760,37778) = ( 37760 × 37778) / 2
LCM(37760,37778) = 1426497280 / 2
LCM(37760,37778) = 713248640

Least Common Multiple (LCM) of 37760 and 37778 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37760 and 37778. First we will calculate the prime factors of 37760 and 37778.

Prime Factorization of 37760

Prime Factorization of 37778

Now multiplying the highest exponent prime factors to calculate the LCM of 37760 and 37778.

LCM(37760,37778) = 2⁷ × 5¹ × 59¹ × 13¹ × 1453¹
LCM(37760,37778) = 713248640