What is the Least Common Multiple of 63294 and 63305?

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 63294 and 63305 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63294 and 63305, than apply into the LCM equation.

GCF(63294,63305) = 11
LCM(63294,63305) = ( 63294 × 63305) / 11
LCM(63294,63305) = 4006826670 / 11
LCM(63294,63305) = 364256970

Least Common Multiple (LCM) of 63294 and 63305 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63294 and 63305. First we will calculate the prime factors of 63294 and 63305.

Prime Factorization of 63294

Prime Factorization of 63305

Now multiplying the highest exponent prime factors to calculate the LCM of 63294 and 63305.

LCM(63294,63305) = 2¹ × 3¹ × 7¹ × 11¹ × 137¹ × 5¹ × 1151¹
LCM(63294,63305) = 364256970