What is the Least Common Multiple of 96030 and 96045?
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 96030 and 96045 is 614880090.
LCM(96030,96045) = 614880090
Least Common Multiple of 96030 and 96045 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96030 and 96045, than apply into the LCM equation.
GCF(96030,96045) = 15
LCM(96030,96045) = ( 96030 × 96045) / 15
LCM(96030,96045) = 9223201350 / 15
LCM(96030,96045) = 614880090
Least Common Multiple (LCM) of 96030 and 96045 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 96030 and 96045. First we will calculate the prime factors of 96030 and 96045.
Prime Factorization of 96030
Prime factors of 96030 are 2, 3, 5, 11, 97. Prime factorization of 96030 in exponential form is:
96030 = 21 × 32 × 51 × 111 × 971
Prime Factorization of 96045
Prime factors of 96045 are 3, 5, 19, 337. Prime factorization of 96045 in exponential form is:
96045 = 31 × 51 × 191 × 3371
Now multiplying the highest exponent prime factors to calculate the LCM of 96030 and 96045.
LCM(96030,96045) = 21 × 32 × 51 × 111 × 971 × 191 × 3371
LCM(96030,96045) = 614880090
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