What is the Least Common Multiple of 79234 and 79246?
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 79234 and 79246 is 3139488782.
LCM(79234,79246) = 3139488782
Least Common Multiple of 79234 and 79246 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79234 and 79246, than apply into the LCM equation.
GCF(79234,79246) = 2
LCM(79234,79246) = ( 79234 × 79246) / 2
LCM(79234,79246) = 6278977564 / 2
LCM(79234,79246) = 3139488782
Least Common Multiple (LCM) of 79234 and 79246 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 79234 and 79246. First we will calculate the prime factors of 79234 and 79246.
Prime Factorization of 79234
Prime factors of 79234 are 2, 173, 229. Prime factorization of 79234 in exponential form is:
79234 = 21 × 1731 × 2291
Prime Factorization of 79246
Prime factors of 79246 are 2, 39623. Prime factorization of 79246 in exponential form is:
79246 = 21 × 396231
Now multiplying the highest exponent prime factors to calculate the LCM of 79234 and 79246.
LCM(79234,79246) = 21 × 1731 × 2291 × 396231
LCM(79234,79246) = 3139488782
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