What is the Least Common Multiple of 19945 and 19951?

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 19945 and 19951 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19945 and 19951, than apply into the LCM equation.

GCF(19945,19951) = 1
LCM(19945,19951) = ( 19945 × 19951) / 1
LCM(19945,19951) = 397922695 / 1
LCM(19945,19951) = 397922695

Least Common Multiple (LCM) of 19945 and 19951 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19945 and 19951. First we will calculate the prime factors of 19945 and 19951.

Prime Factorization of 19945

Prime Factorization of 19951

Now multiplying the highest exponent prime factors to calculate the LCM of 19945 and 19951.

LCM(19945,19951) = 5¹ × 3989¹ × 71¹ × 281¹
LCM(19945,19951) = 397922695