What is the Least Common Multiple of 57759 and 57764?
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 57759 and 57764 is 3336390876.
LCM(57759,57764) = 3336390876
Least Common Multiple of 57759 and 57764 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57759 and 57764, than apply into the LCM equation.
GCF(57759,57764) = 1
LCM(57759,57764) = ( 57759 × 57764) / 1
LCM(57759,57764) = 3336390876 / 1
LCM(57759,57764) = 3336390876
Least Common Multiple (LCM) of 57759 and 57764 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 57759 and 57764. First we will calculate the prime factors of 57759 and 57764.
Prime Factorization of 57759
Prime factors of 57759 are 3, 13, 1481. Prime factorization of 57759 in exponential form is:
57759 = 31 × 131 × 14811
Prime Factorization of 57764
Prime factors of 57764 are 2, 7, 2063. Prime factorization of 57764 in exponential form is:
57764 = 22 × 71 × 20631
Now multiplying the highest exponent prime factors to calculate the LCM of 57759 and 57764.
LCM(57759,57764) = 31 × 131 × 14811 × 22 × 71 × 20631
LCM(57759,57764) = 3336390876
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