What is the Least Common Multiple of 7460 and 7464?
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 7460 and 7464 is 13920360.
LCM(7460,7464) = 13920360
Least Common Multiple of 7460 and 7464 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7460 and 7464, than apply into the LCM equation.
GCF(7460,7464) = 4
LCM(7460,7464) = ( 7460 × 7464) / 4
LCM(7460,7464) = 55681440 / 4
LCM(7460,7464) = 13920360
Least Common Multiple (LCM) of 7460 and 7464 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 7460 and 7464. First we will calculate the prime factors of 7460 and 7464.
Prime Factorization of 7460
Prime factors of 7460 are 2, 5, 373. Prime factorization of 7460 in exponential form is:
7460 = 22 × 51 × 3731
Prime Factorization of 7464
Prime factors of 7464 are 2, 3, 311. Prime factorization of 7464 in exponential form is:
7464 = 23 × 31 × 3111
Now multiplying the highest exponent prime factors to calculate the LCM of 7460 and 7464.
LCM(7460,7464) = 23 × 51 × 3731 × 31 × 3111
LCM(7460,7464) = 13920360
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