What is the Least Common Multiple of 70892 and 70910?

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 70892 and 70910 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70892 and 70910, than apply into the LCM equation.

GCF(70892,70910) = 2
LCM(70892,70910) = ( 70892 × 70910) / 2
LCM(70892,70910) = 5026951720 / 2
LCM(70892,70910) = 2513475860

Least Common Multiple (LCM) of 70892 and 70910 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70892 and 70910. First we will calculate the prime factors of 70892 and 70910.

Prime Factorization of 70892

Prime Factorization of 70910

Now multiplying the highest exponent prime factors to calculate the LCM of 70892 and 70910.

LCM(70892,70910) = 2² × 37¹ × 479¹ × 5¹ × 7¹ × 1013¹
LCM(70892,70910) = 2513475860