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What is the Least Common Multiple of 70220 and 70231?

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 (LCM) of 70220 and 70231 is 4931620820.

LCM(70220,70231) = 4931620820

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Least Common Multiple of 70220 and 70231 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70220 and 70231, than apply into the LCM equation.

GCF(70220,70231) = 1
LCM(70220,70231) = ( 70220 × 70231) / 1
LCM(70220,70231) = 4931620820 / 1
LCM(70220,70231) = 4931620820

Least Common Multiple (LCM) of 70220 and 70231 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70220 and 70231. First we will calculate the prime factors of 70220 and 70231.

Prime Factorization of 70220

Prime factors of 70220 are 2, 5, 3511. Prime factorization of 70220 in exponential form is:

70220 = 22 × 51 × 35111

Prime Factorization of 70231

Prime factors of 70231 are 7, 79, 127. Prime factorization of 70231 in exponential form is:

70231 = 71 × 791 × 1271

Now multiplying the highest exponent prime factors to calculate the LCM of 70220 and 70231.

LCM(70220,70231) = 22 × 51 × 35111 × 71 × 791 × 1271
LCM(70220,70231) = 4931620820