What is the Least Common Multiple of 50954 and 50974?

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 50954 and 50974 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50954 and 50974, than apply into the LCM equation.

GCF(50954,50974) = 2
LCM(50954,50974) = ( 50954 × 50974) / 2
LCM(50954,50974) = 2597329196 / 2
LCM(50954,50974) = 1298664598

Least Common Multiple (LCM) of 50954 and 50974 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50954 and 50974. First we will calculate the prime factors of 50954 and 50974.

Prime Factorization of 50954

Prime Factorization of 50974

Now multiplying the highest exponent prime factors to calculate the LCM of 50954 and 50974.

LCM(50954,50974) = 2¹ × 73¹ × 349¹ × 7¹ × 11¹ × 331¹
LCM(50954,50974) = 1298664598