What is the Least Common Multiple of 93791 and 93802?
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 93791 and 93802 is 8797783382.
LCM(93791,93802) = 8797783382
Least Common Multiple of 93791 and 93802 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93791 and 93802, than apply into the LCM equation.
GCF(93791,93802) = 1
LCM(93791,93802) = ( 93791 × 93802) / 1
LCM(93791,93802) = 8797783382 / 1
LCM(93791,93802) = 8797783382
Least Common Multiple (LCM) of 93791 and 93802 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93791 and 93802. First we will calculate the prime factors of 93791 and 93802.
Prime Factorization of 93791
Prime factors of 93791 are 71, 1321. Prime factorization of 93791 in exponential form is:
93791 = 711 × 13211
Prime Factorization of 93802
Prime factors of 93802 are 2, 46901. Prime factorization of 93802 in exponential form is:
93802 = 21 × 469011
Now multiplying the highest exponent prime factors to calculate the LCM of 93791 and 93802.
LCM(93791,93802) = 711 × 13211 × 21 × 469011
LCM(93791,93802) = 8797783382
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