What is the Least Common Multiple of 70104 and 70112?

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 70104 and 70112 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70104 and 70112, than apply into the LCM equation.

GCF(70104,70112) = 8
LCM(70104,70112) = ( 70104 × 70112) / 8
LCM(70104,70112) = 4915131648 / 8
LCM(70104,70112) = 614391456

Least Common Multiple (LCM) of 70104 and 70112 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70104 and 70112. First we will calculate the prime factors of 70104 and 70112.

Prime Factorization of 70104

Prime Factorization of 70112

Now multiplying the highest exponent prime factors to calculate the LCM of 70104 and 70112.

LCM(70104,70112) = 2⁵ × 3¹ × 23¹ × 127¹ × 7¹ × 313¹
LCM(70104,70112) = 614391456