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What is the Least Common Multiple of 56950 and 56964?

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 56950 and 56964 is 1622049900.

LCM(56950,56964) = 1622049900

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Least Common Multiple of 56950 and 56964 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56950 and 56964, than apply into the LCM equation.

GCF(56950,56964) = 2
LCM(56950,56964) = ( 56950 × 56964) / 2
LCM(56950,56964) = 3244099800 / 2
LCM(56950,56964) = 1622049900

Least Common Multiple (LCM) of 56950 and 56964 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56950 and 56964. First we will calculate the prime factors of 56950 and 56964.

Prime Factorization of 56950

Prime factors of 56950 are 2, 5, 17, 67. Prime factorization of 56950 in exponential form is:

56950 = 21 × 52 × 171 × 671

Prime Factorization of 56964

Prime factors of 56964 are 2, 3, 47, 101. Prime factorization of 56964 in exponential form is:

56964 = 22 × 31 × 471 × 1011

Now multiplying the highest exponent prime factors to calculate the LCM of 56950 and 56964.

LCM(56950,56964) = 22 × 52 × 171 × 671 × 31 × 471 × 1011
LCM(56950,56964) = 1622049900