What is the Least Common Multiple of 80616 and 80620?
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 80616 and 80620 is 1624815480.
LCM(80616,80620) = 1624815480
Least Common Multiple of 80616 and 80620 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80616 and 80620, than apply into the LCM equation.
GCF(80616,80620) = 4
LCM(80616,80620) = ( 80616 × 80620) / 4
LCM(80616,80620) = 6499261920 / 4
LCM(80616,80620) = 1624815480
Least Common Multiple (LCM) of 80616 and 80620 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 80616 and 80620. First we will calculate the prime factors of 80616 and 80620.
Prime Factorization of 80616
Prime factors of 80616 are 2, 3, 3359. Prime factorization of 80616 in exponential form is:
80616 = 23 × 31 × 33591
Prime Factorization of 80620
Prime factors of 80620 are 2, 5, 29, 139. Prime factorization of 80620 in exponential form is:
80620 = 22 × 51 × 291 × 1391
Now multiplying the highest exponent prime factors to calculate the LCM of 80616 and 80620.
LCM(80616,80620) = 23 × 31 × 33591 × 51 × 291 × 1391
LCM(80616,80620) = 1624815480
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