What is the Least Common Multiple of 11420 and 11435?

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 11420 and 11435 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11420 and 11435, than apply into the LCM equation.

GCF(11420,11435) = 5
LCM(11420,11435) = ( 11420 × 11435) / 5
LCM(11420,11435) = 130587700 / 5
LCM(11420,11435) = 26117540

Least Common Multiple (LCM) of 11420 and 11435 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11420 and 11435. First we will calculate the prime factors of 11420 and 11435.

Prime Factorization of 11420

Prime Factorization of 11435

Now multiplying the highest exponent prime factors to calculate the LCM of 11420 and 11435.

LCM(11420,11435) = 2² × 5¹ × 571¹ × 2287¹
LCM(11420,11435) = 26117540