What is the Least Common Multiple of 76936 and 76947?
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 76936 and 76947 is 5919994392.
LCM(76936,76947) = 5919994392
Least Common Multiple of 76936 and 76947 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76936 and 76947, than apply into the LCM equation.
GCF(76936,76947) = 1
LCM(76936,76947) = ( 76936 × 76947) / 1
LCM(76936,76947) = 5919994392 / 1
LCM(76936,76947) = 5919994392
Least Common Multiple (LCM) of 76936 and 76947 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 76936 and 76947. First we will calculate the prime factors of 76936 and 76947.
Prime Factorization of 76936
Prime factors of 76936 are 2, 59, 163. Prime factorization of 76936 in exponential form is:
76936 = 23 × 591 × 1631
Prime Factorization of 76947
Prime factors of 76947 are 3, 13, 1973. Prime factorization of 76947 in exponential form is:
76947 = 31 × 131 × 19731
Now multiplying the highest exponent prime factors to calculate the LCM of 76936 and 76947.
LCM(76936,76947) = 23 × 591 × 1631 × 31 × 131 × 19731
LCM(76936,76947) = 5919994392
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