What is the Least Common Multiple of 60622 and 60638?
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 60622 and 60638 is 1837998418.
LCM(60622,60638) = 1837998418
Least Common Multiple of 60622 and 60638 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60622 and 60638, than apply into the LCM equation.
GCF(60622,60638) = 2
LCM(60622,60638) = ( 60622 × 60638) / 2
LCM(60622,60638) = 3675996836 / 2
LCM(60622,60638) = 1837998418
Least Common Multiple (LCM) of 60622 and 60638 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 60622 and 60638. First we will calculate the prime factors of 60622 and 60638.
Prime Factorization of 60622
Prime factors of 60622 are 2, 17, 1783. Prime factorization of 60622 in exponential form is:
60622 = 21 × 171 × 17831
Prime Factorization of 60638
Prime factors of 60638 are 2, 30319. Prime factorization of 60638 in exponential form is:
60638 = 21 × 303191
Now multiplying the highest exponent prime factors to calculate the LCM of 60622 and 60638.
LCM(60622,60638) = 21 × 171 × 17831 × 303191
LCM(60622,60638) = 1837998418
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