What is the Least Common Multiple of 37769 and 37787?

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 37769 and 37787 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37769 and 37787, than apply into the LCM equation.

GCF(37769,37787) = 1
LCM(37769,37787) = ( 37769 × 37787) / 1
LCM(37769,37787) = 1427177203 / 1
LCM(37769,37787) = 1427177203

Least Common Multiple (LCM) of 37769 and 37787 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37769 and 37787. First we will calculate the prime factors of 37769 and 37787.

Prime Factorization of 37769

Prime Factorization of 37787

Now multiplying the highest exponent prime factors to calculate the LCM of 37769 and 37787.

LCM(37769,37787) = 179¹ × 211¹ × 29¹ × 1303¹
LCM(37769,37787) = 1427177203