What is the Least Common Multiple of 70040 and 70049?

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 70040 and 70049 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70040 and 70049, than apply into the LCM equation.

GCF(70040,70049) = 1
LCM(70040,70049) = ( 70040 × 70049) / 1
LCM(70040,70049) = 4906231960 / 1
LCM(70040,70049) = 4906231960

Least Common Multiple (LCM) of 70040 and 70049 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70040 and 70049. First we will calculate the prime factors of 70040 and 70049.

Prime Factorization of 70040

Prime Factorization of 70049

Now multiplying the highest exponent prime factors to calculate the LCM of 70040 and 70049.

LCM(70040,70049) = 2³ × 5¹ × 17¹ × 103¹ × 7¹ × 10007¹
LCM(70040,70049) = 4906231960