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What is the Least Common Multiple of 70211 and 70220?

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 70211 and 70220 is 4930216420.

LCM(70211,70220) = 4930216420

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Least Common Multiple of 70211 and 70220 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70211 and 70220, than apply into the LCM equation.

GCF(70211,70220) = 1
LCM(70211,70220) = ( 70211 × 70220) / 1
LCM(70211,70220) = 4930216420 / 1
LCM(70211,70220) = 4930216420

Least Common Multiple (LCM) of 70211 and 70220 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70211 and 70220. First we will calculate the prime factors of 70211 and 70220.

Prime Factorization of 70211

Prime factors of 70211 are 61, 1151. Prime factorization of 70211 in exponential form is:

70211 = 611 × 11511

Prime Factorization of 70220

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

70220 = 22 × 51 × 35111

Now multiplying the highest exponent prime factors to calculate the LCM of 70211 and 70220.

LCM(70211,70220) = 611 × 11511 × 22 × 51 × 35111
LCM(70211,70220) = 4930216420