What is the Least Common Multiple of 3710 and 3722?

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 3710 and 3722 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3710 and 3722, than apply into the LCM equation.

GCF(3710,3722) = 2
LCM(3710,3722) = ( 3710 × 3722) / 2
LCM(3710,3722) = 13808620 / 2
LCM(3710,3722) = 6904310

Least Common Multiple (LCM) of 3710 and 3722 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3710 and 3722. First we will calculate the prime factors of 3710 and 3722.

Prime Factorization of 3710

Prime Factorization of 3722

Now multiplying the highest exponent prime factors to calculate the LCM of 3710 and 3722.

LCM(3710,3722) = 2¹ × 5¹ × 7¹ × 53¹ × 1861¹
LCM(3710,3722) = 6904310