What is the Least Common Multiple of 1053 and 1065?
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 1053 and 1065 is 373815.
LCM(1053,1065) = 373815
Least Common Multiple of 1053 and 1065 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1053 and 1065, than apply into the LCM equation.
GCF(1053,1065) = 3
LCM(1053,1065) = ( 1053 × 1065) / 3
LCM(1053,1065) = 1121445 / 3
LCM(1053,1065) = 373815
Least Common Multiple (LCM) of 1053 and 1065 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 1053 and 1065. First we will calculate the prime factors of 1053 and 1065.
Prime Factorization of 1053
Prime factors of 1053 are 3, 13. Prime factorization of 1053 in exponential form is:
1053 = 34 × 131
Prime Factorization of 1065
Prime factors of 1065 are 3, 5, 71. Prime factorization of 1065 in exponential form is:
1065 = 31 × 51 × 711
Now multiplying the highest exponent prime factors to calculate the LCM of 1053 and 1065.
LCM(1053,1065) = 34 × 131 × 51 × 711
LCM(1053,1065) = 373815
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