What is the Least Common Multiple of 79479 and 79483?
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 79479 and 79483 is 6317229357.
LCM(79479,79483) = 6317229357
Least Common Multiple of 79479 and 79483 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79479 and 79483, than apply into the LCM equation.
GCF(79479,79483) = 1
LCM(79479,79483) = ( 79479 × 79483) / 1
LCM(79479,79483) = 6317229357 / 1
LCM(79479,79483) = 6317229357
Least Common Multiple (LCM) of 79479 and 79483 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 79479 and 79483. First we will calculate the prime factors of 79479 and 79483.
Prime Factorization of 79479
Prime factors of 79479 are 3, 8831. Prime factorization of 79479 in exponential form is:
79479 = 32 × 88311
Prime Factorization of 79483
Prime factors of 79483 are 61, 1303. Prime factorization of 79483 in exponential form is:
79483 = 611 × 13031
Now multiplying the highest exponent prime factors to calculate the LCM of 79479 and 79483.
LCM(79479,79483) = 32 × 88311 × 611 × 13031
LCM(79479,79483) = 6317229357
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