What is the Least Common Multiple of 37768 and 37774?

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 37768 and 37774 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37768 and 37774, than apply into the LCM equation.

GCF(37768,37774) = 2
LCM(37768,37774) = ( 37768 × 37774) / 2
LCM(37768,37774) = 1426648432 / 2
LCM(37768,37774) = 713324216

Least Common Multiple (LCM) of 37768 and 37774 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37768 and 37774. First we will calculate the prime factors of 37768 and 37774.

Prime Factorization of 37768

Prime Factorization of 37774

Now multiplying the highest exponent prime factors to calculate the LCM of 37768 and 37774.

LCM(37768,37774) = 2³ × 4721¹ × 11¹ × 17¹ × 101¹
LCM(37768,37774) = 713324216