What is the Least Common Multiple of 35105 and 35124?

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 35105 and 35124 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35105 and 35124, than apply into the LCM equation.

GCF(35105,35124) = 1
LCM(35105,35124) = ( 35105 × 35124) / 1
LCM(35105,35124) = 1233028020 / 1
LCM(35105,35124) = 1233028020

Least Common Multiple (LCM) of 35105 and 35124 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35105 and 35124. First we will calculate the prime factors of 35105 and 35124.

Prime Factorization of 35105

Prime Factorization of 35124

Now multiplying the highest exponent prime factors to calculate the LCM of 35105 and 35124.

LCM(35105,35124) = 5¹ × 7¹ × 17¹ × 59¹ × 2² × 3¹ × 2927¹
LCM(35105,35124) = 1233028020