What is the Least Common Multiple of 34950 and 34970?

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 34950 and 34970 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34950 and 34970, than apply into the LCM equation.

GCF(34950,34970) = 10
LCM(34950,34970) = ( 34950 × 34970) / 10
LCM(34950,34970) = 1222201500 / 10
LCM(34950,34970) = 122220150

Least Common Multiple (LCM) of 34950 and 34970 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34950 and 34970. First we will calculate the prime factors of 34950 and 34970.

Prime Factorization of 34950

Prime Factorization of 34970

Now multiplying the highest exponent prime factors to calculate the LCM of 34950 and 34970.

LCM(34950,34970) = 2¹ × 3¹ × 5² × 233¹ × 13¹ × 269¹
LCM(34950,34970) = 122220150