What is the Least Common Multiple of 56109 and 56121?

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 56109 and 56121 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56109 and 56121, than apply into the LCM equation.

GCF(56109,56121) = 3
LCM(56109,56121) = ( 56109 × 56121) / 3
LCM(56109,56121) = 3148893189 / 3
LCM(56109,56121) = 1049631063

Least Common Multiple (LCM) of 56109 and 56121 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56109 and 56121. First we will calculate the prime factors of 56109 and 56121.

Prime Factorization of 56109

Prime Factorization of 56121

Now multiplying the highest exponent prime factors to calculate the LCM of 56109 and 56121.

LCM(56109,56121) = 3¹ × 59¹ × 317¹ × 13¹ × 1439¹
LCM(56109,56121) = 1049631063