What is the Least Common Multiple of 60664 and 60671?
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 60664 and 60671 is 3680545544.
LCM(60664,60671) = 3680545544
Least Common Multiple of 60664 and 60671 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60664 and 60671, than apply into the LCM equation.
GCF(60664,60671) = 1
LCM(60664,60671) = ( 60664 × 60671) / 1
LCM(60664,60671) = 3680545544 / 1
LCM(60664,60671) = 3680545544
Least Common Multiple (LCM) of 60664 and 60671 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 60664 and 60671. First we will calculate the prime factors of 60664 and 60671.
Prime Factorization of 60664
Prime factors of 60664 are 2, 7583. Prime factorization of 60664 in exponential form is:
60664 = 23 × 75831
Prime Factorization of 60671
Prime factors of 60671 are 13, 359. Prime factorization of 60671 in exponential form is:
60671 = 132 × 3591
Now multiplying the highest exponent prime factors to calculate the LCM of 60664 and 60671.
LCM(60664,60671) = 23 × 75831 × 132 × 3591
LCM(60664,60671) = 3680545544
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