What is the Least Common Multiple of 40670 and 40688?

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 40670 and 40688 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40670 and 40688, than apply into the LCM equation.

GCF(40670,40688) = 2
LCM(40670,40688) = ( 40670 × 40688) / 2
LCM(40670,40688) = 1654780960 / 2
LCM(40670,40688) = 827390480

Least Common Multiple (LCM) of 40670 and 40688 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40670 and 40688. First we will calculate the prime factors of 40670 and 40688.

Prime Factorization of 40670

Prime Factorization of 40688

Now multiplying the highest exponent prime factors to calculate the LCM of 40670 and 40688.

LCM(40670,40688) = 2⁴ × 5¹ × 7² × 83¹ × 2543¹
LCM(40670,40688) = 827390480