What is the Least Common Multiple of 63604 and 63614?

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 63604 and 63614 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63604 and 63614, than apply into the LCM equation.

GCF(63604,63614) = 2
LCM(63604,63614) = ( 63604 × 63614) / 2
LCM(63604,63614) = 4046104856 / 2
LCM(63604,63614) = 2023052428

Least Common Multiple (LCM) of 63604 and 63614 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63604 and 63614. First we will calculate the prime factors of 63604 and 63614.

Prime Factorization of 63604

Prime Factorization of 63614

Now multiplying the highest exponent prime factors to calculate the LCM of 63604 and 63614.

LCM(63604,63614) = 2² × 15901¹ × 17¹ × 1871¹
LCM(63604,63614) = 2023052428