What is the Least Common Multiple of 88200 and 88219?
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 88200 and 88219 is 7780915800.
LCM(88200,88219) = 7780915800
Least Common Multiple of 88200 and 88219 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88200 and 88219, than apply into the LCM equation.
GCF(88200,88219) = 1
LCM(88200,88219) = ( 88200 × 88219) / 1
LCM(88200,88219) = 7780915800 / 1
LCM(88200,88219) = 7780915800
Least Common Multiple (LCM) of 88200 and 88219 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 88200 and 88219. First we will calculate the prime factors of 88200 and 88219.
Prime Factorization of 88200
Prime factors of 88200 are 2, 3, 5, 7. Prime factorization of 88200 in exponential form is:
88200 = 23 × 32 × 52 × 72
Prime Factorization of 88219
Prime factors of 88219 are 47, 1877. Prime factorization of 88219 in exponential form is:
88219 = 471 × 18771
Now multiplying the highest exponent prime factors to calculate the LCM of 88200 and 88219.
LCM(88200,88219) = 23 × 32 × 52 × 72 × 471 × 18771
LCM(88200,88219) = 7780915800
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