What is the Least Common Multiple of 63699 and 63708?

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 63699 and 63708 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63699 and 63708, than apply into the LCM equation.

GCF(63699,63708) = 3
LCM(63699,63708) = ( 63699 × 63708) / 3
LCM(63699,63708) = 4058135892 / 3
LCM(63699,63708) = 1352711964

Least Common Multiple (LCM) of 63699 and 63708 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63699 and 63708. First we will calculate the prime factors of 63699 and 63708.

Prime Factorization of 63699

Prime Factorization of 63708

Now multiplying the highest exponent prime factors to calculate the LCM of 63699 and 63708.

LCM(63699,63708) = 3¹ × 17¹ × 1249¹ × 2² × 5309¹
LCM(63699,63708) = 1352711964