What is the Least Common Multiple of 40600 and 40614?

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 40600 and 40614 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40600 and 40614, than apply into the LCM equation.

GCF(40600,40614) = 14
LCM(40600,40614) = ( 40600 × 40614) / 14
LCM(40600,40614) = 1648928400 / 14
LCM(40600,40614) = 117780600

Least Common Multiple (LCM) of 40600 and 40614 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40600 and 40614. First we will calculate the prime factors of 40600 and 40614.

Prime Factorization of 40600

Prime Factorization of 40614

Now multiplying the highest exponent prime factors to calculate the LCM of 40600 and 40614.

LCM(40600,40614) = 2³ × 5² × 7¹ × 29¹ × 3¹ × 967¹
LCM(40600,40614) = 117780600