What is the Least Common Multiple of 77040 and 77045?
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 77040 and 77045 is 1187109360.
LCM(77040,77045) = 1187109360
Least Common Multiple of 77040 and 77045 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77040 and 77045, than apply into the LCM equation.
GCF(77040,77045) = 5
LCM(77040,77045) = ( 77040 × 77045) / 5
LCM(77040,77045) = 5935546800 / 5
LCM(77040,77045) = 1187109360
Least Common Multiple (LCM) of 77040 and 77045 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 77040 and 77045. First we will calculate the prime factors of 77040 and 77045.
Prime Factorization of 77040
Prime factors of 77040 are 2, 3, 5, 107. Prime factorization of 77040 in exponential form is:
77040 = 24 × 32 × 51 × 1071
Prime Factorization of 77045
Prime factors of 77045 are 5, 19, 811. Prime factorization of 77045 in exponential form is:
77045 = 51 × 191 × 8111
Now multiplying the highest exponent prime factors to calculate the LCM of 77040 and 77045.
LCM(77040,77045) = 24 × 32 × 51 × 1071 × 191 × 8111
LCM(77040,77045) = 1187109360
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