What is the Least Common Multiple of 94024 and 94028?
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 94024 and 94028 is 2210222168.
LCM(94024,94028) = 2210222168
Least Common Multiple of 94024 and 94028 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94024 and 94028, than apply into the LCM equation.
GCF(94024,94028) = 4
LCM(94024,94028) = ( 94024 × 94028) / 4
LCM(94024,94028) = 8840888672 / 4
LCM(94024,94028) = 2210222168
Least Common Multiple (LCM) of 94024 and 94028 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94024 and 94028. First we will calculate the prime factors of 94024 and 94028.
Prime Factorization of 94024
Prime factors of 94024 are 2, 7, 23, 73. Prime factorization of 94024 in exponential form is:
94024 = 23 × 71 × 231 × 731
Prime Factorization of 94028
Prime factors of 94028 are 2, 11, 2137. Prime factorization of 94028 in exponential form is:
94028 = 22 × 111 × 21371
Now multiplying the highest exponent prime factors to calculate the LCM of 94024 and 94028.
LCM(94024,94028) = 23 × 71 × 231 × 731 × 111 × 21371
LCM(94024,94028) = 2210222168
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