What is the Least Common Multiple of 3742 and 3760?

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 3742 and 3760 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3742 and 3760, than apply into the LCM equation.

GCF(3742,3760) = 2
LCM(3742,3760) = ( 3742 × 3760) / 2
LCM(3742,3760) = 14069920 / 2
LCM(3742,3760) = 7034960

Least Common Multiple (LCM) of 3742 and 3760 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3742 and 3760. First we will calculate the prime factors of 3742 and 3760.

Prime Factorization of 3742

Prime Factorization of 3760

Now multiplying the highest exponent prime factors to calculate the LCM of 3742 and 3760.

LCM(3742,3760) = 2⁴ × 1871¹ × 5¹ × 47¹
LCM(3742,3760) = 7034960