What is the Least Common Multiple of 70196 and 70208?

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 70196 and 70208 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70196 and 70208, than apply into the LCM equation.

GCF(70196,70208) = 4
LCM(70196,70208) = ( 70196 × 70208) / 4
LCM(70196,70208) = 4928320768 / 4
LCM(70196,70208) = 1232080192

Least Common Multiple (LCM) of 70196 and 70208 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70196 and 70208. First we will calculate the prime factors of 70196 and 70208.

Prime Factorization of 70196

Prime Factorization of 70208

Now multiplying the highest exponent prime factors to calculate the LCM of 70196 and 70208.

LCM(70196,70208) = 2⁶ × 7¹ × 23¹ × 109¹ × 1097¹
LCM(70196,70208) = 1232080192