What is the Least Common Multiple of 49694 and 49706?

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 49694 and 49706 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49694 and 49706, than apply into the LCM equation.

GCF(49694,49706) = 2
LCM(49694,49706) = ( 49694 × 49706) / 2
LCM(49694,49706) = 2470089964 / 2
LCM(49694,49706) = 1235044982

Least Common Multiple (LCM) of 49694 and 49706 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49694 and 49706. First we will calculate the prime factors of 49694 and 49706.

Prime Factorization of 49694

Prime Factorization of 49706

Now multiplying the highest exponent prime factors to calculate the LCM of 49694 and 49706.

LCM(49694,49706) = 2¹ × 24847¹ × 29¹ × 857¹
LCM(49694,49706) = 1235044982