What is the Least Common Multiple of 63690 and 63699?

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 63690 and 63699 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63690 and 63699, than apply into the LCM equation.

GCF(63690,63699) = 3
LCM(63690,63699) = ( 63690 × 63699) / 3
LCM(63690,63699) = 4056989310 / 3
LCM(63690,63699) = 1352329770

Least Common Multiple (LCM) of 63690 and 63699 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63690 and 63699. First we will calculate the prime factors of 63690 and 63699.

Prime Factorization of 63690

Prime Factorization of 63699

Now multiplying the highest exponent prime factors to calculate the LCM of 63690 and 63699.

LCM(63690,63699) = 2¹ × 3¹ × 5¹ × 11¹ × 193¹ × 17¹ × 1249¹
LCM(63690,63699) = 1352329770