What is the Least Common Multiple of 70940 and 70954?

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 70940 and 70954 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70940 and 70954, than apply into the LCM equation.

GCF(70940,70954) = 2
LCM(70940,70954) = ( 70940 × 70954) / 2
LCM(70940,70954) = 5033476760 / 2
LCM(70940,70954) = 2516738380

Least Common Multiple (LCM) of 70940 and 70954 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70940 and 70954. First we will calculate the prime factors of 70940 and 70954.

Prime Factorization of 70940

Prime Factorization of 70954

Now multiplying the highest exponent prime factors to calculate the LCM of 70940 and 70954.

LCM(70940,70954) = 2² × 5¹ × 3547¹ × 13¹ × 2729¹
LCM(70940,70954) = 2516738380