What is the Least Common Multiple of 63398 and 63402?

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 63398 and 63402 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63398 and 63402, than apply into the LCM equation.

GCF(63398,63402) = 2
LCM(63398,63402) = ( 63398 × 63402) / 2
LCM(63398,63402) = 4019559996 / 2
LCM(63398,63402) = 2009779998

Least Common Multiple (LCM) of 63398 and 63402 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63398 and 63402. First we will calculate the prime factors of 63398 and 63402.

Prime Factorization of 63398

Prime Factorization of 63402

Now multiplying the highest exponent prime factors to calculate the LCM of 63398 and 63402.

LCM(63398,63402) = 2¹ × 31699¹ × 3¹ × 10567¹
LCM(63398,63402) = 2009779998