What is the Least Common Multiple of 63356 and 63366?

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 63356 and 63366 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63356 and 63366, than apply into the LCM equation.

GCF(63356,63366) = 2
LCM(63356,63366) = ( 63356 × 63366) / 2
LCM(63356,63366) = 4014616296 / 2
LCM(63356,63366) = 2007308148

Least Common Multiple (LCM) of 63356 and 63366 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63356 and 63366. First we will calculate the prime factors of 63356 and 63366.

Prime Factorization of 63356

Prime Factorization of 63366

Now multiplying the highest exponent prime factors to calculate the LCM of 63356 and 63366.

LCM(63356,63366) = 2² × 47¹ × 337¹ × 3¹ × 59¹ × 179¹
LCM(63356,63366) = 2007308148