What is the Least Common Multiple of 53851 and 53861?

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 53851 and 53861 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53851 and 53861, than apply into the LCM equation.

GCF(53851,53861) = 1
LCM(53851,53861) = ( 53851 × 53861) / 1
LCM(53851,53861) = 2900468711 / 1
LCM(53851,53861) = 2900468711

Least Common Multiple (LCM) of 53851 and 53861 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53851 and 53861. First we will calculate the prime factors of 53851 and 53861.

Prime Factorization of 53851

Prime Factorization of 53861

Now multiplying the highest exponent prime factors to calculate the LCM of 53851 and 53861.

LCM(53851,53861) = 7³ × 157¹ × 53861¹
LCM(53851,53861) = 2900468711