What is the Least Common Multiple of 5614 and 5625?

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 5614 and 5625 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5614 and 5625, than apply into the LCM equation.

GCF(5614,5625) = 1
LCM(5614,5625) = ( 5614 × 5625) / 1
LCM(5614,5625) = 31578750 / 1
LCM(5614,5625) = 31578750

Least Common Multiple (LCM) of 5614 and 5625 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5614 and 5625. First we will calculate the prime factors of 5614 and 5625.

Prime Factorization of 5614

Prime Factorization of 5625

Now multiplying the highest exponent prime factors to calculate the LCM of 5614 and 5625.

LCM(5614,5625) = 2¹ × 7¹ × 401¹ × 3² × 5⁴
LCM(5614,5625) = 31578750