What is the Least Common Multiple of 40712 and 40722?

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 40712 and 40722 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40712 and 40722, than apply into the LCM equation.

GCF(40712,40722) = 2
LCM(40712,40722) = ( 40712 × 40722) / 2
LCM(40712,40722) = 1657874064 / 2
LCM(40712,40722) = 828937032

Least Common Multiple (LCM) of 40712 and 40722 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40712 and 40722. First we will calculate the prime factors of 40712 and 40722.

Prime Factorization of 40712

Prime Factorization of 40722

Now multiplying the highest exponent prime factors to calculate the LCM of 40712 and 40722.

LCM(40712,40722) = 2³ × 7¹ × 727¹ × 3¹ × 11¹ × 617¹
LCM(40712,40722) = 828937032