What is the Least Common Multiple of 528 and 540?
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 528 and 540 is 23760.
LCM(528,540) = 23760
Least Common Multiple of 528 and 540 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 528 and 540, than apply into the LCM equation.
GCF(528,540) = 12
LCM(528,540) = ( 528 × 540) / 12
LCM(528,540) = 285120 / 12
LCM(528,540) = 23760
Least Common Multiple (LCM) of 528 and 540 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 528 and 540. First we will calculate the prime factors of 528 and 540.
Prime Factorization of 528
Prime factors of 528 are 2, 3, 11. Prime factorization of 528 in exponential form is:
528 = 24 × 31 × 111
Prime Factorization of 540
Prime factors of 540 are 2, 3, 5. Prime factorization of 540 in exponential form is:
540 = 22 × 33 × 51
Now multiplying the highest exponent prime factors to calculate the LCM of 528 and 540.
LCM(528,540) = 24 × 33 × 111 × 51
LCM(528,540) = 23760
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