What is the Least Common Multiple of 3760 and 3768?

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 3760 and 3768 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3760 and 3768, than apply into the LCM equation.

GCF(3760,3768) = 8
LCM(3760,3768) = ( 3760 × 3768) / 8
LCM(3760,3768) = 14167680 / 8
LCM(3760,3768) = 1770960

Least Common Multiple (LCM) of 3760 and 3768 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3760 and 3768. First we will calculate the prime factors of 3760 and 3768.

Prime Factorization of 3760

Prime Factorization of 3768

Now multiplying the highest exponent prime factors to calculate the LCM of 3760 and 3768.

LCM(3760,3768) = 2⁴ × 5¹ × 47¹ × 3¹ × 157¹
LCM(3760,3768) = 1770960