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What is the Least Common Multiple of 70879 and 70883?

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 70879 and 70883 is 5024116157.

LCM(70879,70883) = 5024116157

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Least Common Multiple of 70879 and 70883 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70879 and 70883, than apply into the LCM equation.

GCF(70879,70883) = 1
LCM(70879,70883) = ( 70879 × 70883) / 1
LCM(70879,70883) = 5024116157 / 1
LCM(70879,70883) = 5024116157

Least Common Multiple (LCM) of 70879 and 70883 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70879 and 70883. First we will calculate the prime factors of 70879 and 70883.

Prime Factorization of 70879

Prime factors of 70879 are 70879. Prime factorization of 70879 in exponential form is:

70879 = 708791

Prime Factorization of 70883

Prime factors of 70883 are 73, 971. Prime factorization of 70883 in exponential form is:

70883 = 731 × 9711

Now multiplying the highest exponent prime factors to calculate the LCM of 70879 and 70883.

LCM(70879,70883) = 708791 × 731 × 9711
LCM(70879,70883) = 5024116157