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What is the Least Common Multiple of 97070 and 97077?

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 97070 and 97077 is 9423264390.

LCM(97070,97077) = 9423264390

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Least Common Multiple of 97070 and 97077 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97070 and 97077, than apply into the LCM equation.

GCF(97070,97077) = 1
LCM(97070,97077) = ( 97070 × 97077) / 1
LCM(97070,97077) = 9423264390 / 1
LCM(97070,97077) = 9423264390

Least Common Multiple (LCM) of 97070 and 97077 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97070 and 97077. First we will calculate the prime factors of 97070 and 97077.

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

Prime Factorization of 97077

Prime factors of 97077 are 3, 32359. Prime factorization of 97077 in exponential form is:

97077 = 31 × 323591

Now multiplying the highest exponent prime factors to calculate the LCM of 97070 and 97077.

LCM(97070,97077) = 21 × 51 × 171 × 5711 × 31 × 323591
LCM(97070,97077) = 9423264390