What is the Least Common Multiple of 35054 and 35070?

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 35054 and 35070 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35054 and 35070, than apply into the LCM equation.

GCF(35054,35070) = 2
LCM(35054,35070) = ( 35054 × 35070) / 2
LCM(35054,35070) = 1229343780 / 2
LCM(35054,35070) = 614671890

Least Common Multiple (LCM) of 35054 and 35070 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35054 and 35070. First we will calculate the prime factors of 35054 and 35070.

Prime Factorization of 35054

Prime Factorization of 35070

Now multiplying the highest exponent prime factors to calculate the LCM of 35054 and 35070.

LCM(35054,35070) = 2¹ × 17¹ × 1031¹ × 3¹ × 5¹ × 7¹ × 167¹
LCM(35054,35070) = 614671890