What is the Least Common Multiple of 51945 and 51961?

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 51945 and 51961 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51945 and 51961, than apply into the LCM equation.

GCF(51945,51961) = 1
LCM(51945,51961) = ( 51945 × 51961) / 1
LCM(51945,51961) = 2699114145 / 1
LCM(51945,51961) = 2699114145

Least Common Multiple (LCM) of 51945 and 51961 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51945 and 51961. First we will calculate the prime factors of 51945 and 51961.

Prime Factorization of 51945

Prime Factorization of 51961

Now multiplying the highest exponent prime factors to calculate the LCM of 51945 and 51961.

LCM(51945,51961) = 3¹ × 5¹ × 3463¹ × 7¹ × 13¹ × 571¹
LCM(51945,51961) = 2699114145