What is the Least Common Multiple of 61953 and 61958?

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 61958 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 61958, than apply into the LCM equation.

GCF(61953,61958) = 1
LCM(61953,61958) = ( 61953 × 61958) / 1
LCM(61953,61958) = 3838483974 / 1
LCM(61953,61958) = 3838483974

Least Common Multiple (LCM) of 61953 and 61958 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61953 and 61958. First we will calculate the prime factors of 61953 and 61958.

Prime Factorization of 61953

Prime Factorization of 61958

Now multiplying the highest exponent prime factors to calculate the LCM of 61953 and 61958.

LCM(61953,61958) = 3¹ × 107¹ × 193¹ × 2¹ × 13¹ × 2383¹
LCM(61953,61958) = 3838483974