What is the Least Common Multiple of 54950 and 54970?

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 54950 and 54970 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54950 and 54970, than apply into the LCM equation.

GCF(54950,54970) = 10
LCM(54950,54970) = ( 54950 × 54970) / 10
LCM(54950,54970) = 3020601500 / 10
LCM(54950,54970) = 302060150

Least Common Multiple (LCM) of 54950 and 54970 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54950 and 54970. First we will calculate the prime factors of 54950 and 54970.

Prime Factorization of 54950

Prime Factorization of 54970

Now multiplying the highest exponent prime factors to calculate the LCM of 54950 and 54970.

LCM(54950,54970) = 2¹ × 5² × 7¹ × 157¹ × 23¹ × 239¹
LCM(54950,54970) = 302060150