What is the Least Common Multiple of 49961 and 49969?

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 49961 and 49969 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49961 and 49969, than apply into the LCM equation.

GCF(49961,49969) = 1
LCM(49961,49969) = ( 49961 × 49969) / 1
LCM(49961,49969) = 2496501209 / 1
LCM(49961,49969) = 2496501209

Least Common Multiple (LCM) of 49961 and 49969 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49961 and 49969. First we will calculate the prime factors of 49961 and 49969.

Prime Factorization of 49961

Prime Factorization of 49969

Now multiplying the highest exponent prime factors to calculate the LCM of 49961 and 49969.

LCM(49961,49969) = 47¹ × 1063¹ × 107¹ × 467¹
LCM(49961,49969) = 2496501209