What is the Least Common Multiple of 39700 and 39706?

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 39700 and 39706 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39700 and 39706, than apply into the LCM equation.

GCF(39700,39706) = 2
LCM(39700,39706) = ( 39700 × 39706) / 2
LCM(39700,39706) = 1576328200 / 2
LCM(39700,39706) = 788164100

Least Common Multiple (LCM) of 39700 and 39706 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39700 and 39706. First we will calculate the prime factors of 39700 and 39706.

Prime Factorization of 39700

Prime Factorization of 39706

Now multiplying the highest exponent prime factors to calculate the LCM of 39700 and 39706.

LCM(39700,39706) = 2² × 5² × 397¹ × 19853¹
LCM(39700,39706) = 788164100