What is the Least Common Multiple of 77070 and 77075?
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 77070 and 77075 is 1188034050.
LCM(77070,77075) = 1188034050
Least Common Multiple of 77070 and 77075 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77070 and 77075, than apply into the LCM equation.
GCF(77070,77075) = 5
LCM(77070,77075) = ( 77070 × 77075) / 5
LCM(77070,77075) = 5940170250 / 5
LCM(77070,77075) = 1188034050
Least Common Multiple (LCM) of 77070 and 77075 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 77070 and 77075. First we will calculate the prime factors of 77070 and 77075.
Prime Factorization of 77070
Prime factors of 77070 are 2, 3, 5, 7, 367. Prime factorization of 77070 in exponential form is:
77070 = 21 × 31 × 51 × 71 × 3671
Prime Factorization of 77075
Prime factors of 77075 are 5, 3083. Prime factorization of 77075 in exponential form is:
77075 = 52 × 30831
Now multiplying the highest exponent prime factors to calculate the LCM of 77070 and 77075.
LCM(77070,77075) = 21 × 31 × 52 × 71 × 3671 × 30831
LCM(77070,77075) = 1188034050
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