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What is the Least Common Multiple of 69070 and 69075?

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 69070 and 69075 is 954202050.

LCM(69070,69075) = 954202050

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Least Common Multiple of 69070 and 69075 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69070 and 69075, than apply into the LCM equation.

GCF(69070,69075) = 5
LCM(69070,69075) = ( 69070 × 69075) / 5
LCM(69070,69075) = 4771010250 / 5
LCM(69070,69075) = 954202050

Least Common Multiple (LCM) of 69070 and 69075 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69070 and 69075. First we will calculate the prime factors of 69070 and 69075.

Prime Factorization of 69070

Prime factors of 69070 are 2, 5, 6907. Prime factorization of 69070 in exponential form is:

69070 = 21 × 51 × 69071

Prime Factorization of 69075

Prime factors of 69075 are 3, 5, 307. Prime factorization of 69075 in exponential form is:

69075 = 32 × 52 × 3071

Now multiplying the highest exponent prime factors to calculate the LCM of 69070 and 69075.

LCM(69070,69075) = 21 × 52 × 69071 × 32 × 3071
LCM(69070,69075) = 954202050