What is the Least Common Multiple of 79452 and 79462?
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 79452 and 79462 is 3156707412.
LCM(79452,79462) = 3156707412
Least Common Multiple of 79452 and 79462 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79452 and 79462, than apply into the LCM equation.
GCF(79452,79462) = 2
LCM(79452,79462) = ( 79452 × 79462) / 2
LCM(79452,79462) = 6313414824 / 2
LCM(79452,79462) = 3156707412
Least Common Multiple (LCM) of 79452 and 79462 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 79452 and 79462. First we will calculate the prime factors of 79452 and 79462.
Prime Factorization of 79452
Prime factors of 79452 are 2, 3, 2207. Prime factorization of 79452 in exponential form is:
79452 = 22 × 32 × 22071
Prime Factorization of 79462
Prime factors of 79462 are 2, 67, 593. Prime factorization of 79462 in exponential form is:
79462 = 21 × 671 × 5931
Now multiplying the highest exponent prime factors to calculate the LCM of 79452 and 79462.
LCM(79452,79462) = 22 × 32 × 22071 × 671 × 5931
LCM(79452,79462) = 3156707412
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