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What is the Least Common Multiple of 97057 and 97070?

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 97057 and 97070 is 9421322990.

LCM(97057,97070) = 9421322990

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Least Common Multiple of 97057 and 97070 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97057 and 97070, than apply into the LCM equation.

GCF(97057,97070) = 1
LCM(97057,97070) = ( 97057 × 97070) / 1
LCM(97057,97070) = 9421322990 / 1
LCM(97057,97070) = 9421322990

Least Common Multiple (LCM) of 97057 and 97070 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97057 and 97070. First we will calculate the prime factors of 97057 and 97070.

Prime Factorization of 97057

Prime factors of 97057 are 71, 1367. Prime factorization of 97057 in exponential form is:

97057 = 711 × 13671

Prime Factorization of 97070

Prime factors of 97070 are 2, 5, 17, 571. Prime factorization of 97070 in exponential form is:

97070 = 21 × 51 × 171 × 5711

Now multiplying the highest exponent prime factors to calculate the LCM of 97057 and 97070.

LCM(97057,97070) = 711 × 13671 × 21 × 51 × 171 × 5711
LCM(97057,97070) = 9421322990