What is the Least Common Multiple of 70860 and 70880?

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 70860 and 70880 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70860 and 70880, than apply into the LCM equation.

GCF(70860,70880) = 20
LCM(70860,70880) = ( 70860 × 70880) / 20
LCM(70860,70880) = 5022556800 / 20
LCM(70860,70880) = 251127840

Least Common Multiple (LCM) of 70860 and 70880 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70860 and 70880. First we will calculate the prime factors of 70860 and 70880.

Prime Factorization of 70860

Prime Factorization of 70880

Now multiplying the highest exponent prime factors to calculate the LCM of 70860 and 70880.

LCM(70860,70880) = 2⁵ × 3¹ × 5¹ × 1181¹ × 443¹
LCM(70860,70880) = 251127840