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What is the Least Common Multiple of 70270 and 70277?

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 70270 and 70277 is 4938364790.

LCM(70270,70277) = 4938364790

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Least Common Multiple of 70270 and 70277 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70270 and 70277, than apply into the LCM equation.

GCF(70270,70277) = 1
LCM(70270,70277) = ( 70270 × 70277) / 1
LCM(70270,70277) = 4938364790 / 1
LCM(70270,70277) = 4938364790

Least Common Multiple (LCM) of 70270 and 70277 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70270 and 70277. First we will calculate the prime factors of 70270 and 70277.

Prime Factorization of 70270

Prime factors of 70270 are 2, 5, 7027. Prime factorization of 70270 in exponential form is:

70270 = 21 × 51 × 70271

Prime Factorization of 70277

Prime factors of 70277 are 31, 2267. Prime factorization of 70277 in exponential form is:

70277 = 311 × 22671

Now multiplying the highest exponent prime factors to calculate the LCM of 70270 and 70277.

LCM(70270,70277) = 21 × 51 × 70271 × 311 × 22671
LCM(70270,70277) = 4938364790