What is the Least Common Multiple of 54696 and 54706?

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 54696 and 54706 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54696 and 54706, than apply into the LCM equation.

GCF(54696,54706) = 2
LCM(54696,54706) = ( 54696 × 54706) / 2
LCM(54696,54706) = 2992199376 / 2
LCM(54696,54706) = 1496099688

Least Common Multiple (LCM) of 54696 and 54706 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54696 and 54706. First we will calculate the prime factors of 54696 and 54706.

Prime Factorization of 54696

Prime Factorization of 54706

Now multiplying the highest exponent prime factors to calculate the LCM of 54696 and 54706.

LCM(54696,54706) = 2³ × 3¹ × 43¹ × 53¹ × 17¹ × 1609¹
LCM(54696,54706) = 1496099688