What is the Least Common Multiple of 7452 and 7471?
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 7452 and 7471 is 55673892.
LCM(7452,7471) = 55673892
Least Common Multiple of 7452 and 7471 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7452 and 7471, than apply into the LCM equation.
GCF(7452,7471) = 1
LCM(7452,7471) = ( 7452 × 7471) / 1
LCM(7452,7471) = 55673892 / 1
LCM(7452,7471) = 55673892
Least Common Multiple (LCM) of 7452 and 7471 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 7452 and 7471. First we will calculate the prime factors of 7452 and 7471.
Prime Factorization of 7452
Prime factors of 7452 are 2, 3, 23. Prime factorization of 7452 in exponential form is:
7452 = 22 × 34 × 231
Prime Factorization of 7471
Prime factors of 7471 are 31, 241. Prime factorization of 7471 in exponential form is:
7471 = 311 × 2411
Now multiplying the highest exponent prime factors to calculate the LCM of 7452 and 7471.
LCM(7452,7471) = 22 × 34 × 231 × 311 × 2411
LCM(7452,7471) = 55673892
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