What is the Least Common Multiple of 71656 and 71670?

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 71656 and 71670 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71656 and 71670, than apply into the LCM equation.

GCF(71656,71670) = 2
LCM(71656,71670) = ( 71656 × 71670) / 2
LCM(71656,71670) = 5135585520 / 2
LCM(71656,71670) = 2567792760

Least Common Multiple (LCM) of 71656 and 71670 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71656 and 71670. First we will calculate the prime factors of 71656 and 71670.

Prime Factorization of 71656

Prime Factorization of 71670

Now multiplying the highest exponent prime factors to calculate the LCM of 71656 and 71670.

LCM(71656,71670) = 2³ × 13² × 53¹ × 3¹ × 5¹ × 2389¹
LCM(71656,71670) = 2567792760