What is the Least Common Multiple of 71672 and 71690?

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 71672 and 71690 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71672 and 71690, than apply into the LCM equation.

GCF(71672,71690) = 2
LCM(71672,71690) = ( 71672 × 71690) / 2
LCM(71672,71690) = 5138165680 / 2
LCM(71672,71690) = 2569082840

Least Common Multiple (LCM) of 71672 and 71690 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71672 and 71690. First we will calculate the prime factors of 71672 and 71690.

Prime Factorization of 71672

Prime Factorization of 71690

Now multiplying the highest exponent prime factors to calculate the LCM of 71672 and 71690.

LCM(71672,71690) = 2³ × 17² × 31¹ × 5¹ × 67¹ × 107¹
LCM(71672,71690) = 2569082840