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What is the Least Common Multiple of 68572 and 68579?

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 68572 and 68579 is 671799884.

LCM(68572,68579) = 671799884

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Least Common Multiple of 68572 and 68579 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68572 and 68579, than apply into the LCM equation.

GCF(68572,68579) = 7
LCM(68572,68579) = ( 68572 × 68579) / 7
LCM(68572,68579) = 4702599188 / 7
LCM(68572,68579) = 671799884

Least Common Multiple (LCM) of 68572 and 68579 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68572 and 68579. First we will calculate the prime factors of 68572 and 68579.

Prime Factorization of 68572

Prime factors of 68572 are 2, 7, 31, 79. Prime factorization of 68572 in exponential form is:

68572 = 22 × 71 × 311 × 791

Prime Factorization of 68579

Prime factors of 68579 are 7, 97, 101. Prime factorization of 68579 in exponential form is:

68579 = 71 × 971 × 1011

Now multiplying the highest exponent prime factors to calculate the LCM of 68572 and 68579.

LCM(68572,68579) = 22 × 71 × 311 × 791 × 971 × 1011
LCM(68572,68579) = 671799884