What is the Least Common Multiple of 60532 and 60552?
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 60532 and 60552 is 916333416.
LCM(60532,60552) = 916333416
Least Common Multiple of 60532 and 60552 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60532 and 60552, than apply into the LCM equation.
GCF(60532,60552) = 4
LCM(60532,60552) = ( 60532 × 60552) / 4
LCM(60532,60552) = 3665333664 / 4
LCM(60532,60552) = 916333416
Least Common Multiple (LCM) of 60532 and 60552 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 60532 and 60552. First we will calculate the prime factors of 60532 and 60552.
Prime Factorization of 60532
Prime factors of 60532 are 2, 37, 409. Prime factorization of 60532 in exponential form is:
60532 = 22 × 371 × 4091
Prime Factorization of 60552
Prime factors of 60552 are 2, 3, 29. Prime factorization of 60552 in exponential form is:
60552 = 23 × 32 × 292
Now multiplying the highest exponent prime factors to calculate the LCM of 60532 and 60552.
LCM(60532,60552) = 23 × 371 × 4091 × 32 × 292
LCM(60532,60552) = 916333416
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