What is the Least Common Multiple of 61953 and 61961?

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 61953 and 61961 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61953 and 61961, than apply into the LCM equation.

GCF(61953,61961) = 1
LCM(61953,61961) = ( 61953 × 61961) / 1
LCM(61953,61961) = 3838669833 / 1
LCM(61953,61961) = 3838669833

Least Common Multiple (LCM) of 61953 and 61961 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61953 and 61961. First we will calculate the prime factors of 61953 and 61961.

Prime Factorization of 61953

Prime Factorization of 61961

Now multiplying the highest exponent prime factors to calculate the LCM of 61953 and 61961.

LCM(61953,61961) = 3¹ × 107¹ × 193¹ × 61961¹
LCM(61953,61961) = 3838669833